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Mean of Total Fat in Fast Food Chain Sandwiches

3.11- The following data contains the total fat , in grams per serving, for a sample of 20 chicken sandwiches from fast food chains.

Sandwich Calories Fat Sat Fat Carbs Sodium
Wendy's Ultimate Chicken Grill 360 7 2 44 1100
Baja Fresh Original Baja Taco with Charbroiled Chicken 370 8 1 53 680
Burger King Smoky BBQ Fire Grilled Chicken Baguette 380 4 2 57 1580
Quiznos Sub Honey Bourbon Chicken on Wheat bread 400 5 1 57 1040
McDonald's Chicken McGrill 400 16 3 37 1020
Blimpie Grilled Chicken Hot Sub 470 20 4 51 910
Subway Oven Roasted Chicken Breast 470 20 6 46 970
Blimpie Buffalo Chicken Hot Sub 500 24 8 52 2570
Wendy's Spicy Chicken Fillet 510 19 4 57 1480
Taco Bell Ranchero Chicken Soft Taco (two tacos) 540 30 8 42 1580
KFC Oven Roasted Chicken Tender Wrap 550 23 4 55 1630
Subway Buffalo Chicken Sub 550 30 8 46 1760
Burger King Chicken Whopper 570 25 5 48 1410
Au Bon Pain Arizona Chicken 580 19 7 58 1590
Boston Market Rotisserie Chicken Carver 640 29 7 61 980
Chipolte Soft Tacos with Chicken (three tacos) 660 29 12 56 1630
Cosi Grilled Chicken with Tomato, Basil, and Mozzarella 720 30 11 65 1260
Atlanta Bread Company Chargrilled Chicken Pesto Panini 740 30 16 78 1660
Corner Bakery Café Chicken Pomodori Panini 910 40 18 86 1970
Panera Bread Tuscan Chicken on Rosamary & Onion Focaccia 950 56 10 76 2130

The data is as follows

7 8 4 5 16 20 20 24 19 30

23 30 25 19 29 29 30 30 40 56

a. Compute the mean, median, first quartile, and third quartile

b. Compute the variance, standard deviation, range, interquartile range, coefficient of variation, and Z scores. And there outlines? Explain

c. Are the data skewed? if so, how?

d. Based on the results of (a) through (c), what is the conclusions
can you reach concerning the total fat of chicken sandwiches?

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Solution Preview

a) mean 23.2
median 23.5
first quartile 18.25 formula would be: =QUARTILE(C2:C21,1)
third quartile 30 formula would be: =QUARTILE(C2:C21,3)

b)variance 153.4315789
standard devaition 12.38675014
interquartile range 11.75 (formula = =QUARTILE(C2:C21,3)-QUARTILE(C2:C21,1))
range 49
Coefficient of Variation (CV) equals the standard deviation divided by the mean
...

Solution Summary

The solution examines the mean of total fat in fast food chain sandwiches.

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